Triangle Angle Sum and Remote Angles

Front

What is the Triangle Angle Sum Theorem?

Back

The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

What is the measure of the third angle if two angles of a triangle are 50 degrees and 60 degrees?

Back

70 degrees (180 - 50 - 60 = 70).

Front

What is a remote angle in a triangle?

Back

A remote angle is an angle that is not adjacent to a given angle in a triangle.

Front

If angle A is 62 degrees and angle B is 53 degrees, what is angle C?

Back

Angle C is 65 degrees (180 - 62 - 53 = 65).

Front

How do you find the measure of an unknown angle in a triangle?

Back

Subtract the sum of the known angles from 180 degrees.

Front

What is the relationship between exterior angles and remote interior angles?

Back

An exterior angle is equal to the sum of the two remote interior angles.

Front

If angle A is 116 degrees, what can you say about the triangle?

Back

It is an obtuse triangle because one angle is greater than 90 degrees.

Front

What is the measure of an angle if the other two angles in a triangle are 80 degrees and 58 degrees?

Back

42 degrees (180 - 80 - 58 = 42).

Front

In a triangle, if one angle measures 50 degrees and another measures 70 degrees, what is the third angle?

Back

60 degrees (180 - 50 - 70 = 60).